. Fiona has 18 red carnations, 27 white carnations, and 36 blue carnations. She wants to make arrangements of red, white, and blue carnations. She plans to use all of the flowers and to have the same number of each color in each arrangement. If she makes the greatest number of arrangements possible, then how many blue carnations will be in each arrangement?

9 blue carnations.

Step-by-step explanation:

Given that,

Fiona has 18 red carnations, 27 white carnations, and 36 blue carnations. She wants to make arrangements of red, white, and blue carnations.

If she makes the greatest number of arrangements possible, then we need to find how many blue carnations will be in each arrangement.

Greatest possible arrangements = HCF of 18,27 and 36

The factors of 18 are: 1, 2, 3, 4, 6, 9, 12, 18,

The factors of 27 are: 1, 3,9,27

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The greatest common factor = 9

For blue carnation,

B = (36/9) = 4

Hence, in each arrangements there are 9 blue carnations.

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17

step-by-step explanation: